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Finding the Fourth Proportional to 506,141.55, 698,483.64 and 302,210.30

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Solution

The fourth proportional to 506,141.55, 698,483.64 and 302,210.30 is: 417,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,141.55 : 698,483.64 = 302,210.30 : x
  2. Step 2: Convert to fraction form
    506,141.55/698,483.64 = 302,210.30/x
  3. Step 3: Cross multiply
    506,141.55x = 698,483.64 × 302,210.30
  4. Step 4: Simplify right side
    506,141.55x = 211,088,948,030.36
  5. Step 5: Solve for x
    x = 211,088,948,030.36/506,141.55
  6. Step 6: Final answer
    x = 417,055.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.